Suppose that g is a function with the property that gm) (z) < 2 for all values of z and n. Suppose that we wish to approximate the value of g (1) by using a Taylor polynomial for g centered at 0. We want our approximation's error to be less than .001. What degree must our Taylor polynomial be to accomplish this? (Select the minimum degree that will do the job! Pretend that higher degree terms are "expensive" in some sense, so we don't want any excess.)

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